Boussinesq方程新的精确解

应用扩展的Jacobi椭圆函数有理展开法并辅助符号计算,建立了Boussinesq方程新的Jacobi椭圆双周期波解和相应的三角函数单周期解.     

Huntington’s disease: from huntingtin function and dysfunction to therapeutic strategies

Huntington’s disease (HD) is a neurodegenerative disorder that usually starts in middle age and is characterized by involuntary movements (chorea), personality changes and dementia, leading to death within 10–20 years. The defective gene in HD contains a trinucleotide CAG repeat expansion within its coding region that expresses a polyglutamine repeat in the protein huntingtin. Together with the characteristic formation of aggregates in HD, aberrant protein interactions and several post-translational modifications affect huntingtin during disease progression and lead to the dysfunction and death of selective neurons in the brains of patients. The exact molecular mechanisms by which mutant huntingtin induces cell death are not completely understood but may involve the gain of new toxic functions and the loss of the beneficial properties of huntingtin. This review focuses on the cellular functions in which huntingtin is involved and how a better understanding of pathogenic pathways can lead to new therapeutic approaches. Received 24 May 2006; received after revision 5 July 2006; accepted 23 August 2006     

Expansion of amino acid homo-sequences in proteins: Insights into the role of amino acid homo-polymers and of the protein context in aggregation

Expansion of amino acid homo-sequences, such as polyglutamines or polyalanines, in proteins has been directly implicated in various degenerative diseases through a mechanism of protein misfolding and aggregation. However, it is still unclear how the nature of the expansion and the protein context influence the tendency of a protein to aggregate. Here, we have addressed these questions using spinocerebellar ataxia type-3 (ATX3) protein, the best characterised of the polyglutamine proteins, chosen as a model system. Using a transfected mammalian cell line, we demonstrate that ATX3 aggregation is noticeably reduced by deletion or replacement of regions other than the polyglutamine tract. The nature of the amino acid homo-sequences also has a strong influence on aggregation. From our studies, we draw general conclusions on the effect of the protein architecture and of the amino acid homo-sequence on pathology. Received 3 March 2006; received after revision 19 April 2006; accepted 22 May 2006     

步数可变循环图中生成树的计数

生成树的个数是评估图(网络)可靠性的一个重要且被广泛研究的量.一般的图还无简单有效的算法计算生成树的个数,利用切比雪夫多项式的性质推出了步数可变循环图中生成树计数的在线性时间内即可实现的算法,并应用于具体的图中.     

A MULTI－PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM FOR PARABOLIC PROBLEM

ＡＭＵＬＴＩ－ＰＡＲＡＭＥＴＥＲＳＰＬＩＴＴＩＮＧＥＸＴＲＡＰＯＬＡＴＩＯＮＡＮＤＡＰＡＲＡＬＬＥＬＡＬＧＯＲＩＴＨＭＦＯＲＰＡＲＡＢＯＬＩＣＰＲＯＢＬＥＭＬＩＵＸｉａｏｑｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉａｎｇｔａｎＴｅａｃｈ...     

四阶非局部边值问题的正解的存在性

应用锥拉伸与锥压缩不动点定理,讨论了一类非线性四阶微分方程非局部边值问题的正解的存在性,构造了一个合适的锥和凸泛函,得到了该问题正解的存在性。     

温度和机械载荷联合作用下油田超深井中硬质涂层膨胀锥与套管的屈服挤毁压强及试验验证

在充分考虑温度载荷、机械载荷、硬质涂层膨胀锥硬度、套管硬度对膨胀锥与套管之间屈服挤毁压强影响的基础上,根据分形理论和接触力学推导出膨胀锥与套管之间屈服挤毁压强的计算公式.数值分析表明:膨胀锥与套管之间的屈服挤毁压强随最终温度、分形粗糙度、线膨胀系数、硬质涂层膨胀锥布氏硬度、中间主应力系数、套管壁厚的增大而增大;当分形维数从1增大时,膨胀锥与套管之间的屈服挤毁压强随分形维数的增大而减小;当分形维数增大到接近于2时,膨胀锥与套管之间的屈服挤毁压强随分形维数的增大而增大;随拉压强度比的增大,膨胀锥与套管之间的屈服挤毁压强减小.屈服挤毁压强的计算值与试验测试值之间的相对误差为-8.9253%^-0.9901%.     

一类奇摄动三阶常微分方程组的两点边值问题

利用边界层函数法构造了一类奇摄动三阶方程组两点边值问题的渐近解, 并严格证明了解的存在惟一性及其渐近解的一致有效性.     

Brinbaum-Sauders分布的极值收敛速度

主要讨论了Brinbaum-Sauders分布的尾部特征,得到了最大值分布的渐进展开.     

不同粒度肥煤的膨胀性研究

对不同粒级淮北宿州肥煤的奥亚膨胀度、黏结指数、最大胶质层厚度、有机显微组分、挥发分以及镜质组氧元素含量进行分析。结果表明,不同粒级肥煤的黏结指数G值和最大胶质层厚度Y值无明显差异,且奥亚膨胀度b值和膨胀温度区间的变化趋势基本一致;0.5～2mm粒级肥煤的膨胀性能较优,粒度大于2mm或小于0.5mm肥煤的最大膨胀度b值和膨胀温度区间相对较小,其膨胀性能明显劣化。讨论了采用膨胀性指标表征肥煤工艺性质的优越性,并从活惰比、镜质组氧元素含量和活性成分比表面积对不同粒级肥煤膨胀性差异进行了分析。